Theorems · Inductive type · measure theory
MeasurableAdd
(M : Type u_2) → [MeasurableSpace M] → [Add M] → Prop
We say that a type has MeasurableAdd if (c + ·) and (· + c) are measurable functions.
For a typeclass assuming measurability of uncurry (· + ·) see MeasurableAdd₂.
- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 78 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- MeasurableSpaceAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
Cited by84
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_preimage_addstatement and proof · cited by 14
- MeasurableAdd.measurable_add_conststatement and proof · cited by 11
- MeasurableAdd.measurable_const_addstatement and proof · cited by 11
- MeasurableEquiv.addLeftstatement and proof · cited by 10
- Measurable.const_addstatement and proof · cited by 9
- Measurable.add_conststatement and proof · cited by 8
- MeasurableEquiv.addRightstatement and proof · cited by 8
- MeasureTheory.integral_add_right_eq_selfstatement and proof · cited by 7
- MeasureTheory.integral_add_left_eq_selfstatement and proof · cited by 6
- MeasureTheory.convolution_flipstatement and proof · cited by 6
- MeasureTheory.integral_sub_right_eq_selfstatement and proof · cited by 6
- AEMeasurable.add_conststatement and proof · cited by 6